TY - GEN
T1 - On state-space characterization for strict negative-imaginariness of LTI systems
AU - Song, Zhuoyue
AU - Patra, Sourav
AU - Lanzon, Alexander
AU - Petersen, Ian R.
PY - 2011
Y1 - 2011
N2 - Negative-imaginary systems appear quite often in engineering applications, for example, in flexible structures with collocated position sensors and force actuators, in electrical circuits, in system biology, etc. In this paper, a strongly strict negative-imaginary lemma is proposed to ensure the strict negative-imaginary property of an LTI system. This result will facilitate both robustness analysis and controller synthesis for interconnected negative-imaginary systems. In the proposed characterization, numerical advantages are achieved by avoiding a minimality assumption, a non-convex rank constraint and a non-strict inequality condition present in previous literature. Two numerical examples are provided to illustrate the effectiveness of the proposed results.
AB - Negative-imaginary systems appear quite often in engineering applications, for example, in flexible structures with collocated position sensors and force actuators, in electrical circuits, in system biology, etc. In this paper, a strongly strict negative-imaginary lemma is proposed to ensure the strict negative-imaginary property of an LTI system. This result will facilitate both robustness analysis and controller synthesis for interconnected negative-imaginary systems. In the proposed characterization, numerical advantages are achieved by avoiding a minimality assumption, a non-convex rank constraint and a non-strict inequality condition present in previous literature. Two numerical examples are provided to illustrate the effectiveness of the proposed results.
UR - http://www.scopus.com/inward/record.url?scp=84860650224&partnerID=8YFLogxK
U2 - 10.1109/CDC.2011.6160638
DO - 10.1109/CDC.2011.6160638
M3 - Conference contribution
AN - SCOPUS:84860650224
SN - 9781612848006
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 453
EP - 458
BT - 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
Y2 - 12 December 2011 through 15 December 2011
ER -